Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₁₃⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂²×C₁₃⋊C₃

		d	ρ	Label	ID
C₂×C₆×C₁₃⋊C₃		156		C2xC6xC13:C3	468,47

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×C₁₃⋊C₃) = C₂×S₃×C₁₃⋊C₃	φ: C₂²×C₁₃⋊C₃/C₂×C₁₃⋊C₃ → C₂ ⊆ Aut C₃	78	6	C3:(C2^2xC13:C3)	468,34

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₁₃⋊C₃) = C₂²×C₁₃⋊C₉	central extension (φ=1)	468		C3.(C2^2xC13:C3)	468,12

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×C13⋊C3